Information on Result #1713420
Digital (92, 107, 14770)-net over F3, using net defined by OOA based on linear OOA(3107, 14770, F3, 20, 15) (dual of [(14770, 20), 295293, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3107, 29541, F3, 4, 15) (dual of [(29541, 4), 118057, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 29542, F3, 4, 15) (dual of [(29542, 4), 118061, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3107, 29542, F3, 2, 15) (dual of [(29542, 2), 58977, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3107, 59084, F3, 15) (dual of [59084, 58977, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3107, 59085, F3, 15) (dual of [59085, 58978, 16]-code), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(371, 59049, F3, 11) (dual of [59049, 58978, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(15) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(3107, 59085, F3, 15) (dual of [59085, 58978, 16]-code), using
- OOA 2-folding [i] based on linear OA(3107, 59084, F3, 15) (dual of [59084, 58977, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3107, 29542, F3, 2, 15) (dual of [(29542, 2), 58977, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3107, 29542, F3, 4, 15) (dual of [(29542, 4), 118061, 16]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.